Solve (9x-7)(8x-6)(7x-12)

$$( 9 x - 7 ) ( 8 x - 6 ) ( 7 x - 12 )$$

Evaluate

$$504x^{3}-1634x^{2}+1614x-504$$

Solution Steps

Apply the distributive property by multiplying each term of 9x-7 by each term of 8x-6.

$$\left(72x^{2}-54x-56x+42\right)\left(7x-12\right)$$

Combine -54x and -56x to get -110x.

$$\left(72x^{2}-110x+42\right)\left(7x-12\right)$$

Apply the distributive property by multiplying each term of 72x^{2}-110x+42 by each term of 7x-12.

$$504x^{3}-864x^{2}-770x^{2}+1320x+294x-504$$

Combine -864x^{2} and -770x^{2} to get -1634x^{2}.

$$504x^{3}-1634x^{2}+1320x+294x-504$$

Combine 1320x and 294x to get 1614x.

$$504x^{3}-1634x^{2}+1614x-504$$

Expand

$$504x^{3}-1634x^{2}+1614x-504$$

Solution Steps

Apply the distributive property by multiplying each term of 9x-7 by each term of 8x-6.

$$\left(72x^{2}-54x-56x+42\right)\left(7x-12\right)$$

Combine -54x and -56x to get -110x.

$$\left(72x^{2}-110x+42\right)\left(7x-12\right)$$

Apply the distributive property by multiplying each term of 72x^{2}-110x+42 by each term of 7x-12.

$$504x^{3}-864x^{2}-770x^{2}+1320x+294x-504$$

Combine -864x^{2} and -770x^{2} to get -1634x^{2}.

$$504x^{3}-1634x^{2}+1320x+294x-504$$

Combine 1320x and 294x to get 1614x.

$$504x^{3}-1634x^{2}+1614x-504$$